AP Pre-Calculus MCQs
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AP Pre-Calculus practice questions by unit
Fiveable has 9,930 AP Pre-Calculus multiple-choice practice questions across 4 units. Practice one unit or topic at a time.
- Unit 1 – Polynomial and Rational Functions: 2,593 multiple-choice questions
- Unit 2 – Exponential and Logarithmic Functions: 2,810 multiple-choice questions
- Unit 3 – Trigonometric and Polar Functions: 2,334 multiple-choice questions
- Unit 4 – Functions Involving Parameters, Vectors, and Matrices: 2,193 multiple-choice questions
Sample AP Pre-Calculus practice question
A sound wave is modeled by a periodic function where successive peaks (maximum values) occur at times t = 1.2 seconds and t = 3.6 seconds. Which statement correctly identifies the period of this sound wave and explains the reasoning?
The period is 2.4 seconds because the distance between successive peaks is one complete cycle, and 3.6 − 1.2 = 2.4.
The period is 1.2 seconds because the first peak occurs at t = 1.2 seconds.
The period is 4.8 seconds because two complete cycles occur between t = 1.2 and t = 3.6 seconds.
The period cannot be determined from peak times alone; we need to know the times of both peaks and troughs to calculate the period.
Explanation
Recognizes that successive peaks are separated by exactly one period. Since peaks represent the same characteristic (local maximum) occurring at consecutive cycles, the time between them is the period. The calculation 3.6 − 1.2 = 2.4 correctly identifies this interval.